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Properties

Label 3822.2.cm
Level $3822$
Weight $2$
Character orbit 3822.cm
Rep. character $\chi_{3822}(545,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1584$
Sturm bound $1568$

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Defining parameters

Level: \( N \) \(=\) \( 3822 = 2 \cdot 3 \cdot 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3822.cm (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1911 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(1568\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3822, [\chi])\).

Total New Old
Modular forms 4752 1584 3168
Cusp forms 4656 1584 3072
Eisenstein series 96 0 96

Trace form

\( 1584 q - 264 q^{4} + O(q^{10}) \) \( 1584 q - 264 q^{4} - 264 q^{16} + 280 q^{25} - 12 q^{30} - 8 q^{39} + 70 q^{42} + 40 q^{43} + 28 q^{49} + 12 q^{51} - 42 q^{52} + 308 q^{61} - 264 q^{64} - 56 q^{69} + 42 q^{75} + 16 q^{78} + 72 q^{79} + 72 q^{81} - 112 q^{87} + 42 q^{90} - 76 q^{91} + 224 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3822, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(3822, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3822, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1911, [\chi])\)\(^{\oplus 2}\)